Question

If a number is 20% more than the other, how many percent is the second number less than the first ?​

Answer 1

16.66%

Explanation:

We can take an example:

Let's say the smaller number is 100 then the bigger number is 20% more that means 120.[Formula:(20/120)*100]Now the smaller number that means the second is 20 less that the first and now we need to know how much percent is 20 from 120 and that means the sixth part of 100% that means 16.66%.

Answer 2

16.666...%

Explanation:

Let y be the first number

and x be the second number

then

y=x+20%x = (120/100)x

y=(120/100)x ⇔ x=(100/120)y

let‘s write x=(100/120)y in the form x=(p/100)y where p is a number to find

100/120=p/100 ⇔ p=(100×100)/120 = 83.333.....

then x = (83.333/100)y

since 83.333 = 100 - 16.666

then x = y - 16.666%y